Abstract

We consider the pp-Laplacian operator on a domain equipped with a Finsler metric. After deriving and recalling relevant properties of its first eigenfunction for p>1p>1, we investigate the limit problem as p→1p\to 1.

Author information

Contact details are reproduced from the original publication and may be historical.

Matteo Novaga

Dip. di Matematica, Università di Pisa, Largo B. Pontecorvo 5, 56127 Pisa, Italy

novaga@dm.unipi.it

Keywords

  • p-Laplace
  • eigenfunction
  • Finsler metric
  • Cheeger set
  • anisotropic isoperimetric inequality

Mathematics Subject Classification

35J20, 35J70, 49A52, 49G05, 52A05, 52A40

Suggested citation

B. Kawohl, M. Novaga. “The p-Laplace Eigenvalue Problem as p Approaches 1 and Cheeger Sets in a Finsler Metric.” Journal of Convex Analysis 15 (2008), No. 3, 623–634. https://doi.org/10.68381/jca15043

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Published by Heldermann Verlag, 2008. Rights now held by Banach Press.